Solve (-2c^4d^-4/2-1*3-2)^4

$$( \frac { - 2 c ^ { 4 } d ^ { - 4 } } { 2 - 1 \cdot 3 - 2 } ) ^ { 4 }$$

Evaluate

$$\frac{16\times \left(\frac{c}{d}\right)^{16}}{81}$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(\frac{-2c^{4}d^{-4}}{2-3-2}\right)^{4}$$

Subtract 3 from 2 to get -1.

$$\left(\frac{-2c^{4}d^{-4}}{-1-2}\right)^{4}$$

Subtract 2 from -1 to get -3.

$$\left(\frac{-2c^{4}d^{-4}}{-3}\right)^{4}$$

To raise \frac{-2c^{4}d^{-4}}{-3} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(-2c^{4}d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

Expand \left(-2c^{4}d^{-4}\right)^{4}.

$$\frac{\left(-2\right)^{4}\left(c^{4}\right)^{4}\left(d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 4 to get 16.

$$\frac{\left(-2\right)^{4}c^{16}\left(d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply -4 and 4 to get -16.

$$\frac{\left(-2\right)^{4}c^{16}d^{-16}}{\left(-3\right)^{4}}$$

Calculate -2 to the power of 4 and get 16.

$$\frac{16c^{16}d^{-16}}{\left(-3\right)^{4}}$$

Calculate -3 to the power of 4 and get 81.

$$\frac{16c^{16}d^{-16}}{81}$$

Expand

$$\frac{16\times \left(\frac{c}{d}\right)^{16}}{81}$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(\frac{-2c^{4}d^{-4}}{2-3-2}\right)^{4}$$

Subtract 3 from 2 to get -1.

$$\left(\frac{-2c^{4}d^{-4}}{-1-2}\right)^{4}$$

Subtract 2 from -1 to get -3.

$$\left(\frac{-2c^{4}d^{-4}}{-3}\right)^{4}$$

To raise \frac{-2c^{4}d^{-4}}{-3} to a power, raise both numerator and denominator to the power and then divide.

$$\frac{\left(-2c^{4}d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

Expand \left(-2c^{4}d^{-4}\right)^{4}.

$$\frac{\left(-2\right)^{4}\left(c^{4}\right)^{4}\left(d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply 4 and 4 to get 16.

$$\frac{\left(-2\right)^{4}c^{16}\left(d^{-4}\right)^{4}}{\left(-3\right)^{4}}$$

To raise a power to another power, multiply the exponents. Multiply -4 and 4 to get -16.

$$\frac{\left(-2\right)^{4}c^{16}d^{-16}}{\left(-3\right)^{4}}$$

Calculate -2 to the power of 4 and get 16.

$$\frac{16c^{16}d^{-16}}{\left(-3\right)^{4}}$$

Calculate -3 to the power of 4 and get 81.

$$\frac{16c^{16}d^{-16}}{81}$$